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Finding the Fourth Proportional to 201,858.08, 278,565 and 115,820.48

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Solution

The fourth proportional to 201,858.08, 278,565 and 115,820.48 is: 159,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,858.08 : 278,565 = 115,820.48 : x
  2. Step 2: Convert to fraction form
    201,858.08/278,565 = 115,820.48/x
  3. Step 3: Cross multiply
    201,858.08x = 278,565 × 115,820.48
  4. Step 4: Simplify right side
    201,858.08x = 32,263,532,011.20
  5. Step 5: Solve for x
    x = 32,263,532,011.20/201,858.08
  6. Step 6: Final answer
    x = 159,832.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.